Solve (7x)3=

$$( 7 x ) 3 =$$

Differentiate w.r.t. x

$$21$$

Steps Using Definition of a Derivative

Multiply 7 and 3 to get 21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(21x)$$

The derivative of ax^{n} is nax^{n-1}.

$$21x^{1-1}$$

Subtract 1 from 1.

$$21x^{0}$$

For any term t except 0, t^{0}=1.

$$21\times 1$$

For any term t, t\times 1=t and 1t=t.

$$21$$

Evaluate

$$21x$$

Solution Steps

Multiply 7 and 3 to get 21.

$$21x$$